<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/48dba9de-8ffd-4441-be36-218898952ce2/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls20 wsa"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls20 wsa">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls20 wsa"> </div></div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls20 wsa">Estatística Aplicada - Resumo </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls20 wsa"> </div><div class="t m0 x1 h5 y7 ff3 fs2 fc0 sc0 ls20 wsa">DISTRIBUIÇÃO DA DIFERENÇA DE </div><div class="t m0 x1 h5 y8 ff3 fs2 fc0 sc0 ls20 wsa">DUAS MÉDIAS AMOSTRAIS DE </div><div class="t m0 x1 h5 y9 ff3 fs2 fc0 sc0 ls20 wsa">POPULAÇÕES INDEPENDENTES </div><div class="t m0 x1 h6 ya ff2 fs3 fc1 sc0 ls20 wsa"> </div><div class="t m0 x1 h7 yb ff3 fs4 fc1 sc0 ls20 wsa">Caso 1: Variâncias populacionais conhecidas<span class="_0 blank"> </span><span class="fs3 fc2"> </span></div><div class="t m0 x1 h8 yc ff2 fs3 fc0 sc0 ls20 wsa">Seja <span class="ff4">\ue73a</span></div><div class="t m0 x3 h9 yd ff4 fs5 fc0 sc0 ls0">\ueb35<span class="fs3 ls20 ws0 v1">, \u2026 \ue73a</span></div><div class="t m0 x4 h9 yd ff4 fs5 fc0 sc0 ls1">\uebe1<span class="ff2 fs3 ls20 wsa v1"> a.a de tamanho <span class="ff4 ls2">\ue74a</span> de <span class="ff4 ws1">\ue73a<span class="_1 blank"> </span>\u223c \ue730<span class="_0 blank"></span>(\ue7e4</span></span><span class="ls3">\uebd1<span class="fs3 ls20 ws0 v1">, \ue7ea</span></span></div><div class="t m0 x5 ha ye ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x6 hb yf ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 v2">)<span class="ff2 wsa">. Seja <span class="ff4">\ue73b</span></span></span></div><div class="t m0 x7 h9 yd ff4 fs5 fc0 sc0 ls4">\ueb35<span class="fs3 ls20 ws3 v1">, \u2026 , \ue73b</span></div><div class="t m0 x8 h9 yd ff4 fs5 fc0 sc0 ls5">\uebe0<span class="ff2 fs3 ls20 wsa v1"> a.a de tamanho <span class="ff4 ls6">\ue749</span> de </span></div><div class="t m0 x1 h8 y10 ff4 fs3 fc0 sc0 ls20 ws1">\ue73b<span class="_1 blank"> </span>\u223c \ue730(\ue7e4<span class="fs5 ls7 v3">\uebd2</span><span class="ws0">, \ue7ea</span></div><div class="t m0 x9 ha y11 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 xa hb y12 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 v2">)<span class="ff2 wsa">. Considere <span class="ff4 ls8">\ue73a</span><span class="ls9"> e <span class="ff4 lsa">\ue73b</span></span> v.a\u2019s independentes e <span class="ff4">\ue7ea</span></span></span></div><div class="t m0 xb ha y11 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 xc hb y12 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 lsb wsa v2"> <span class="ff2 ls9">e <span class="ff4 ls20">\ue7ea</span></span></span></div><div class="t m0 xd ha y11 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 xe ha y12 ff4 fs5 fc0 sc0 lsc">\ueb36<span class="ff2 fs3 ls20 wsa v2"> conhecidas. Então </span></div><div class="t m0 x1 h6 y13 ff2 fs3 fc0 sc0 ls20 wsa"> </div><div class="t m0 xf h8 y14 ff4 fs3 fc0 sc0 ls20">\ue73a</div><div class="t m0 x10 h8 y15 ff4 fs3 fc0 sc0 lsd">\ued24<span class="ls20 ws4 v3">\u2212 \ue73b</span></div><div class="t m0 x11 hc y15 ff4 fs3 fc0 sc0 lse">\ued24<span class="ls20 ws5 v3">\u223c<span class="_2 blank"> </span>\ue730 \uf246\ue7e4</span><span class="fs5 lsf v2">\uebd1</span><span class="ls20 ws4 v3">\u2212 \ue7e4</span><span class="fs5 ls7 v2">\uebd2</span><span class="ls10 v3">,</span><span class="ls20 v4">\ue7ea</span></div><div class="t m0 x12 ha y16 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x13 ha y17 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x14 hd y18 ff4 fs3 fc0 sc0 ls11">\ue74a<span class="ls12 v5">+</span><span class="ls20 v6">\ue7ea</span></div><div class="t m0 xc ha y16 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x15 ha y17 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x16 he y18 ff4 fs3 fc0 sc0 ls13">\ue749<span class="ls20 ws2 v5">\uf247<span class="ff2 wsa"> </span></span></div><div class="t m0 x1 h6 y19 ff2 fs3 fc0 sc0 ls20 wsa">Ou, equivalentemente: </div><div class="t m0 xf h8 y1a ff4 fs3 fc0 sc0 ls20 ws2">(<span class="v7">\ue73a</span></div><div class="t m0 x17 h8 y1b ff4 fs3 fc0 sc0 ls14">\ued24<span class="ls20 ws4 v3">\u2212 \ue73b</span></div><div class="t m0 x18 h8 y1b ff4 fs3 fc0 sc0 ls15">\ued24<span class="ls16 v8">)</span><span class="ls12 v3">\u2212</span><span class="ls20 ws2 v8">(</span><span class="ls17 v3">\ue7e4</span><span class="fs5 lsf v2">\uebd1</span><span class="ls20 ws4 v3">\u2212 \ue7e4</span><span class="fs5 ls7 v2">\uebd2</span><span class="ls20 v8">)</span></div><div class="t m0 x19 hf y1c ff4 fs3 fc0 sc0 lsb">\ueda7<span class="ls20 v9">\ue7ea</span></div><div class="t m0 x1a ha y1d ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x1b ha y1e ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x1c h10 y1f ff4 fs3 fc0 sc0 ls11">\ue74a<span class="ls12 va">+</span><span class="ls20 vb">\ue7ea</span></div><div class="t m0 x1d ha y1d ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x1e ha y1e ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x1f h11 y1f ff4 fs3 fc0 sc0 ls18">\ue749<span class="ls20 ws6 vc">\u223c<span class="_2 blank"> </span>\ue730 (0,1)<span class="ff2 wsa"> </span></span></div><div class="t m0 x1 h6 y20 ff2 fs3 fc1 sc0 ls20 wsa">Populações não normais </div><div class="t m0 x1 h8 y21 ff2 fs3 fc0 sc0 ls20 wsa">Se as v.a\u2019s <span class="ff4">\ue73a </span>e <span class="ff4 lsa">\ue73b</span> não têm distribuição normal, se <span class="ff4 ws7">\ue74a \u2192 \u221e</span><span class="ls9"> e </span><span class="ff4 ws7">\ue749<span class="_1 blank"> </span>\u2192 \u221e</span>, então pelo TCL: </div><div class="t m0 xf h8 y22 ff4 fs3 fc0 sc0 ls20 ws2">(<span class="v7">\ue73a</span></div><div class="t m0 x17 h8 y23 ff4 fs3 fc0 sc0 lsd">\ued24<span class="ls20 ws4 v3">\u2212 \ue73b</span></div><div class="t m0 x18 h8 y23 ff4 fs3 fc0 sc0 ls15">\ued24<span class="ls19 v8">)</span><span class="ls12 v3">\u2212</span><span class="ls20 ws2 v8">(</span><span class="ls17 v3">\ue7e4</span><span class="fs5 lsf v2">\uebd1</span><span class="ls20 ws4 v3">\u2212 \ue7e4</span><span class="fs5 ls7 v2">\uebd2</span><span class="ls20 v8">)</span></div><div class="t m0 x19 hf y24 ff4 fs3 fc0 sc0 ls20 ws2">\ueda7<span class="v9">\ue7ea</span></div><div class="t m0 x1a ha y25 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x1b ha y26 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x1c h10 y27 ff4 fs3 fc0 sc0 ls1a">\ue74a<span class="ls1b va">+</span><span class="ls20 vb">\ue7ea</span></div><div class="t m0 x1d ha y25 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x1e ha y26 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x1f h11 y27 ff4 fs3 fc0 sc0 ls1c">\ue749<span class="ls20 ws8 vc">\u2248 \ue730<span class="_0 blank"></span>(0,1)<span class="ff2 wsa"> </span></span></div><div class="t m0 x1 h7 y28 ff3 fs4 fc1 sc0 ls20 wsa">Caso 2: Variâncias desconhecidas, mas iguais </div><div class="t m0 x1 h8 y29 ff2 fs3 fc0 sc0 ls20 wsa">Sejam <span class="_3 blank"></span><span class="ff4">\ue73a</span></div><div class="t m0 x20 h9 y2a ff4 fs5 fc0 sc0 ls0">\ueb35<span class="fs3 ls20 ws0 v1">, \u2026 , \ue73a</span></div><div class="t m0 x21 h9 y2a ff4 fs5 fc0 sc0 ls1">\uebe1<span class="ff2 fs3 ls20 wsa v1"> <span class="_3 blank"></span>e <span class="_3 blank"></span><span class="ff4">\ue73b</span></span></div><div class="t m0 x22 h9 y2a ff4 fs5 fc0 sc0 ls4">\ueb35<span class="fs3 ls20 ws3 v1">, \u2026 , \ue73b</span></div><div class="t m0 x23 h12 y2a ff4 fs5 fc0 sc0 ls5">\uebe0<span class="ff2 fs3 ls20 wsa v1"> <span class="_3 blank"></span>a.a <span class="_3 blank"></span>de <span class="_3 blank"></span><span class="ff4 ws6">\ue73a<span class="_2 blank"> </span>\u223c<span class="_2 blank"> </span>\ue730 <span class="ws2 vd">(</span><span class="ls17">\ue7e4<span class="fs5 ls3 v3">\uebd1</span></span><span class="wsa"> \ue7ea</span></span></span></div><div class="t m0 x24 ha y2b ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x25 h13 y2c ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 ve">)<span class="ff2 wsa v7"> <span class="_3 blank"></span>e <span class="_3 blank"></span>de <span class="_3 blank"></span><span class="ff4 ws1">\ue73b \u223c \ue730<span class="_0 blank"> </span><span class="ws2 vd">(</span><span class="ls17">\ue7e4<span class="fs5 ls7 v3">\uebd2</span></span><span class="ws0">, \ue7ea</span></span></span></span></div><div class="t m0 x26 ha y2b ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x27 h13 y2c ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 ve">)<span class="ff2 wsa v7">, <span class="_3 blank"></span>respectivamente, </span></span></div><div class="t m0 x1 h8 y2d ff2 fs3 fc0 sc0 ls20 wsa">com <span class="ff4">\ue7ea</span></div><div class="t m0 x3 ha y2e ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x28 hb y2f ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs3 ls9 wsa v2"> e <span class="ff4 ls20">\ue7ea</span></span></div><div class="t m0 x29 ha y2e ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x2a hb y2f ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs3 ls20 wsa v2"> desconhecidas, mas iguais, sendo <span class="ff4 ls8">\ue73a</span> e <span class="ff4 lsa">\ue73b</span> v.a\u2019s independentes. Então: </span></div><div class="t m0 xf h8 y30 ff4 fs3 fc0 sc0 ls20 ws2">(<span class="v7">\ue73a</span></div><div class="t m0 x17 h8 y31 ff4 fs3 fc0 sc0 lsd">\ued24<span class="ls20 ws4 v3">\u2212 \ue73b</span></div><div class="t m0 x18 h8 y31 ff4 fs3 fc0 sc0 ls15">\ued24<span class="ls19 v8">)</span><span class="ls1b v3">\u2212</span><span class="ls20 ws2 v8">(</span><span class="ls17 v3">\ue7e4</span><span class="fs5 lsf v2">\uebd1</span><span class="ls20 ws4 v3">\u2212 \ue7e4</span><span class="fs5 ls7 v2">\uebd2</span><span class="ls20 v8">)</span></div><div class="t m0 x2b h8 y32 ff4 fs3 fc0 sc0 ls20 ws2">\ueda7<span class="vf">\ue735</span></div><div class="t m0 x2c ha y33 ff4 fs5 fc0 sc0 ls20">\uebe3</div><div class="t m0 x2d h14 y34 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 wsa v10"> <span class="_4 blank"> </span>\uf240<span class="v4">1</span></span></div><div class="t m0 x2e h15 y35 ff4 fs3 fc0 sc0 ls1d">\ue74a<span class="ls1e va">+</span><span class="ls20 v11">1</span></div><div class="t m0 x1d h16 y35 ff4 fs3 fc0 sc0 ls6">\ue749<span class="ls1f va">\uf241</span><span class="ls20 ws1 v12">\u223c \ue750</span><span class="fs5 ls20 ws9 v13">\uebe1\ueb3e\uebe0\ueb3f\ueb36 </span><span class="ff2 ls20 wsa v12"> </span></div><div class="t m0 x1 h6 y36 ff2 fs3 fc0 sc0 ls20 wsa">Onde: </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/48dba9de-8ffd-4441-be36-218898952ce2/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls20 wsa"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls20 wsa">2 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls20 wsa"> </div></div><div class="t m0 x2f h8 y37 ff4 fs3 fc0 sc0 ls20">\ue735</div><div class="t m0 x30 ha y38 ff4 fs5 fc0 sc0 ls20">\uebe3</div><div class="t m0 x31 h17 y39 ff4 fs5 fc0 sc0 ls21">\ueb36<span class="fs3 ls22 v2">=<span class="ls20 ws2 v14">(<span class="ws4 v7">\ue74a \u2212 1</span>)<span class="v7">\ue735</span></span></span></div><div class="t m0 x32 ha y3a ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x33 h13 y3b ff4 fs5 fc0 sc0 ls23">\ueb36<span class="fs3 ls1b v2">+<span class="ls20 ws2 vd">(</span><span class="ls20 ws4">\ue749 \u2212 1<span class="ws2 vd">)</span>\ue735</span></span></div><div class="t m0 x7 ha y3a ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x34 ha y3b ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x1f h8 y3c ff4 fs3 fc0 sc0 ls20 ws4">\ue74a + \ue749<span class="_5 blank"> </span>\u2212 2<span class="_6 blank"> </span><span class="ff2 wsa v5"> </span></div><div class="t m0 x1 h7 y3d ff3 fs4 fc1 sc0 ls20 wsa">Caso 3: Variâncias desconhecidas, mas diferentes<span class="_0 blank"> </span> </div><div class="t m0 x1 h8 y3e ff2 fs3 fc0 sc0 ls20 wsa">Sejam <span class="_3 blank"></span><span class="ff4">\ue73a</span></div><div class="t m0 x20 h9 y3f ff4 fs5 fc0 sc0 ls0">\ueb35<span class="fs3 ls20 ws0 v1">, \u2026 , \ue73a</span></div><div class="t m0 x21 h9 y3f ff4 fs5 fc0 sc0 ls1">\uebe1<span class="ff2 fs3 ls20 wsa v1"> <span class="_3 blank"></span>e <span class="_3 blank"></span><span class="ff4">\ue73b</span></span></div><div class="t m0 x22 h9 y3f ff4 fs5 fc0 sc0 ls4">\ueb35<span class="fs3 ls20 ws3 v1">, \u2026 , \ue73b</span></div><div class="t m0 x23 h12 y3f ff4 fs5 fc0 sc0 ls5">\uebe0<span class="ff2 fs3 ls20 wsa v1"> <span class="_3 blank"></span>a.a <span class="_3 blank"></span>de <span class="_3 blank"></span><span class="ff4 ws6">\ue73a<span class="_2 blank"> </span>\u223c<span class="_2 blank"> </span>\ue730 <span class="ws2 vd">(</span><span class="ls17">\ue7e4<span class="fs5 ls3 v3">\uebd1</span></span><span class="wsa"> \ue7ea</span></span></span></div><div class="t m0 x24 ha y40 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x25 h13 y41 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 ve">)<span class="ff2 wsa v7"> <span class="_3 blank"></span>e <span class="_3 blank"></span>de <span class="_3 blank"></span><span class="ff4 ws1">\ue73b \u223c \ue730<span class="_0 blank"> </span><span class="ws2 vd">(</span><span class="ls17">\ue7e4<span class="fs5 ls7 v3">\uebd2</span></span><span class="ws0">, \ue7ea</span></span></span></span></div><div class="t m0 x26 ha y40 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x27 h13 y41 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs3 ls20 ws2 ve">)<span class="ff2 wsa v7">, <span class="_3 blank"></span>respectivamente, </span></span></div><div class="t m0 x1 h8 y42 ff2 fs3 fc0 sc0 ls20 wsa">com <span class="ff4">\ue7ea</span></div><div class="t m0 x3 ha y43 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x28 hb y44 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs3 ls9 wsa v2"> e <span class="ff4 ls20">\ue7ea</span></span></div><div class="t m0 x29 ha y43 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x2a hb y44 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs3 ls20 wsa v2"> desconhecidas, mas diferentes, sendo <span class="ff4 ls8">\ue73a<span class="ff2 ls9"> e </span><span class="lsa">\ue73b</span></span> v.a\u2019s independentes. Então: </span></div><div class="t m0 x35 h8 y45 ff4 fs3 fc0 sc0 lsb">(<span class="ls20 v7">\ue73a</span></div><div class="t m0 x36 h8 y46 ff4 fs3 fc0 sc0 lsd">\ued24<span class="ls20 ws4 v3">\u2212 \ue73b</span></div><div class="t m0 x1a h8 y46 ff4 fs3 fc0 sc0 ls15">\ued24<span class="ls19 v8">)</span><span class="ls1b v3">\u2212</span><span class="ls20 ws2 v8">(</span><span class="ls17 v3">\ue7e4</span><span class="fs5 lsf v2">\uebd1</span><span class="ls20 ws4 v3">\u2212 \ue7e4</span><span class="fs5 ls7 v2">\uebd2</span><span class="ls20 v8">)</span></div><div class="t m0 x37 hf y47 ff4 fs3 fc0 sc0 ls20 ws2">\ueda7<span class="v9">\ue735</span></div><div class="t m0 x38 ha y48 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x39 ha y49 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x3a h10 y4a ff4 fs3 fc0 sc0 ls24">\ue74a<span class="ls12 va">+</span><span class="ls20 vb">\ue735</span></div><div class="t m0 x3b ha y48 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x3c ha y49 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x33 h11 y4a ff4 fs3 fc0 sc0 ls25">\ue749<span class="ls20 ws1 vc">\u223c \ue750</span><span class="fs5 ls26 v15">\uebe5</span><span class="ff2 ls20 wsa vc"> </span></div><div class="t m0 x1 h6 y4b ff2 fs3 fc0 sc0 ls20 wsa">Onde: </div><div class="t m0 x18 h18 y4c ff4 fs3 fc0 sc0 ls20 wsb">\ue74e =<span class="_7 blank"> </span><span class="ls9 vb">\ued6c</span><span class="v16">\ue735</span></div><div class="t m0 x1e ha y4d ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x3d ha y4e ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x3e h19 y4f ff4 fs3 fc0 sc0 ls24">\ue74a<span class="ls1b va">+</span><span class="ls20 v11">\ue735</span></div><div class="t m0 x6 ha y4d ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x6 ha y4e ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x3f h1a y4f ff4 fs3 fc0 sc0 ls27">\ue749<span class="ls9 va">\ued70</span><span class="fs5 ls20 v17">\ueb36</span></div><div class="t m0 x40 h1b y50 ff4 fs3 fc0 sc0 ls9">\ued6c<span class="ls20 v18">\ue735</span></div><div class="t m0 x41 ha y51 ff4 fs5 fc0 sc0 ls20">\uebd1</div><div class="t m0 x42 ha y52 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x43 h1c y53 ff4 fs3 fc0 sc0 ls1d">\ue74a<span class="ls9 va">\ued70</span><span class="fs5 ls20 v16">\ueb36</span></div><div class="t m0 x40 h1d y54 ff4 fs3 fc0 sc0 ls20 ws4">\ue74a \u2212 1<span class="_1 blank"> </span><span class="ls28 va">+</span><span class="ls9 v19">\ued6c</span><span class="v1a">\ue735</span></div><div class="t m0 x44 ha y51 ff4 fs5 fc0 sc0 ls20">\uebd2</div><div class="t m0 x45 ha y52 ff4 fs5 fc0 sc0 ls20">\ueb36</div><div class="t m0 x46 h1c y53 ff4 fs3 fc0 sc0 ls29">\ue749<span class="ls9 va">\ued70</span><span class="fs5 ls20 v16">\ueb36</span></div><div class="t m0 x3f h8 y54 ff4 fs3 fc0 sc0 ls20 ws4">\ue749 \u2212 1</div><div class="t m0 x47 h6 y4c ff2 fs3 fc0 sc0 ls20 wsa"> </div><div class="t m0 x1 h6 y55 ff2 fs3 fc0 sc0 ls20 wsa"> </div><div class="t m0 x1 h6 y56 ff2 fs3 fc0 sc0 ls20 wsa"> </div><div class="t m0 x1 h1e y57 ff2 fs0 fc0 sc0 ls20 wsa"> </div><div class="t m0 x1 h1e y58 ff2 fs0 fc0 sc0 ls20 wsa"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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